6090996809664 has 224 divisors, whose sum is σ = 20298757472000. Its totient is φ = 1775513115648.

The previous prime is 6090996809657. The next prime is 6090996809701. The reversal of 6090996809664 is 4669086990906.

6090996809664 is a `hidden beast` number, since 609 + 0 + 9 + 9 + 6 + 8 + 0 + 9 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6090996809592 and 6090996809601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6708574 + ... + 7562205.

It is an arithmetic number, because the mean of its divisors is an integer number (90619453000).

Almost surely, 2^{6090996809664} is an apocalyptic number.

6090996809664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6090996809664 is an abundant number, since it is smaller than the sum of its proper divisors (14207760662336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6090996809664 is a wasteful number, since it uses less digits than its factorization.

6090996809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270832 (or 14270816 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 6090996809664 in words is "six trillion, ninety billion, nine hundred ninety-six million, eight hundred nine thousand, six hundred sixty-four".